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• W2066647684 abstract "Following a model for the sintering of a row of grains by Sun et al. (1996), a simplified model is developed for cavity growth along a grain-boundary by surface and grain-boundary diffusion. The cavity surface is approximated by two arcs of equal radius truncated by the grain-boundary. The arcs evolve by changing the radius and the intersection angle they make with the grain-boundary. A variational principle for the coupled diffusion problem is used to obtain the rate equations for the two degrees of freedom which are numerically integrated to follow the cavity growth. The simplified model can be reduced to the well established equilibrium cavity growth model for the limiting case of fast surface diffusion. A validity map for the model is constructed by comparing the approximate solutions with full numerical solutions over a wide range of values of relative diffusivity, initial dihedral angles and applied stresses. It is found that the simplified solution can be used under most of the practical conditions. The model described here is two dimensional although the approach can be easily extended to axisymmetric cases." @default.
• W2066647684 created "2016-06-24" @default.
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• W2066647684 date "2000-01-01" @default.
• W2066647684 modified "2023-09-27" @default.
• W2066647684 title "A simplified model for cavity growth along a grain-boundary by coupled surface and grain-boundary diffusion" @default.
• W2066647684 doi "https://doi.org/10.1016/s0997-7538(00)00156-x" @default.
• W2066647684 hasPublicationYear "2000" @default.
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